Phe. Tiesinga et al., SINGLE-VORTEX-INDUCED VOLTAGE STEPS IN JOSEPHSON-JUNCTION ARRAYS, Journal of physics. Condensed matter, 9(8), 1997, pp. 1813-1829
We have numerically and analytically studied (ac + dc)-driven Josephso
n-junction arrays with a single vortex or with a single vortex-antivor
tex pair present. We find single-vortex steps in the voltage versus cu
rrent (I-V) characteristics of the array. They correspond microscopica
lly to a single vortex phase-locked to move a fixed number of plaquett
es per period of the ac driving current. In underdamped arrays we find
vortex motion period doubling on the steps. We observe subharmonic st
eps in both underdamped and overdamped arrays. We successfully compare
these results with a phenomenological model of vortex motion with a n
on-linear viscosity. The I-V characteristic of an array with a vortex-
antivortex pair displays fractional voltage steps. A possible connecti
on of these results to present-day experiments is also discussed.